A bunch of comments to make for me:
First, I agree with Rich...I have seen a number of these, but not with a Roto-Swirl, they all had the 6-vane straight vane agitator which was shared with Whirlpool models.
The original part number for the 'pregnant' Roto-Swirl is a VERY early, five digit number (like 16211 or something), so they were clearly around in the very early days. By the mid 60s most part numbers had moved into the 95xxx range, and were moving into the six digit category shortly after.
As to what commonly freezes - I don't agree, not with my experience anyway. What I have seen that freezes first is the mixing valve. Many times the underneath mechanicals escape a lot of outside freezes, but its the mixing valve that bathes the backside of the inner cabinet with a high pressure shower when you put water to a cracked and previously frozen valve. This is especially true if hoses were left attached.
About the spray rinses - in even the last of the belt drives, there are a total of 8 sprays between first and final spin, four in each spin. Counting them that way would make for a total of 9 "rinses". This applies to most machines, but some BOL early models had fewer.
Finally, and something I have noticed and learned very recently - in using the ultra-cool 1968 24-inch machine that Andy sent me...this machine has a two-minute drain period. I have not used a machine with this in some time. A four-minute drain, which was engineered largely to give large capacity machines time to fully empty, allows smaller machines or machines with little internal plumbing (thus they drain F A S T) time to let suds subside before the machine takes off into spin and whips up more suds. The spray rinses are as much designed to rinse the clothes as they are to flush suds build-up out of the outer tub, which is why half of more of the BD spray is directed over the basket and into the outer tub directly instead of on the clothes.
Gordon